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Finding the Third Proportional to 87,754 and 136,128

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Solution

The third proportional to 87,754 and 136,128 is: 211,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,754 : 136,128 = 136,128 : x
  2. Step 2: Convert to fraction form
    87,754/136,128 = 136,128/x
  3. Step 3: Cross multiply
    87,754x = 136,128 × 136,128
  4. Step 4: Simplify right side
    87,754x = 18,530,832,384
  5. Step 5: Solve for x
    x = 18,530,832,384/87,754
  6. Step 6: Final answer
    x = 211,167.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.